52312788970200 has 768 divisors, whose sum is σ = 213208728768000. Its totient is φ = 11644766208000.

The previous prime is 52312788970171. The next prime is 52312788970289. The reversal of 52312788970200 is 207988721325.

52312788970200 is a `hidden beast` number, since 5 + 23 + 1 + 278 + 89 + 70 + 200 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40770031 + ... + 42033569.

It is an arithmetic number, because the mean of its divisors is an integer number (277615532250).

Almost surely, 2^{52312788970200} is an apocalyptic number.

52312788970200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52312788970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106604364384000).

52312788970200 is an abundant number, since it is smaller than the sum of its proper divisors (160895939797800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52312788970200 is a wasteful number, since it uses less digits than its factorization.

52312788970200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263633 (or 1263618 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 52312788970200 in words is "fifty-two trillion, three hundred twelve billion, seven hundred eighty-eight million, nine hundred seventy thousand, two hundred".